Question

Why does multiplying by 10 shift each digit one place to left

Answer 1

Answer:

because you're adding another zero which takes place in the place value chart.

Step-by-step explanation: For example 25 (initial value)

multiplied one time by ten : 250

250 multiplied by ten: 2,500

and on the place value chart here each new zero takes a new place which gives the 25 a new value.

Answer 2

Multiplying by 10 can be thought of as just adding a 0 to the right end of a number. If you have 2 and multiply it by 10, you get 20. For 1,234, you get 12,340. If you have 98,765, you can 987,650. Same thing applies for 100, 1000, 10000, ...., and so on. It moves it over depending on the number of 0's there are in the number. If it is 100, it will move two 0's over. For example, if you multiply 45 by 100, you get 4,500. The two zeros from 100 moved to the right side of the 45 to get 4500.